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Popular >

y^'=y(5x^2+3)

Solution

y^{^{'}} = y (5 x^{2} + 3)

Solution

y = e^{\frac{5 x ^{3}}{3} + 3 x + c_{1}}

Solution steps

y^{'} (x) = y (5 x^{2} + 3)

Solve separable ODE:

y = e^{\frac{5 x ^{3}}{3} + 3 x + c_{1}}

y = e^{\frac{5 x ^{3}}{3} + 3 x + c_{1}}

Graph

Popular Examples

sqrt(x+1)y^'=y+1

x + 1 y^{^{'}} = y + 1

(t^2-16t+48)((dy)/(dt))=y

(t^{2} - 16 t + 48) (\frac{d y}{d t}) = y

(dz)/(dt)=2te^{6z}

\frac{d z}{d t} = 2 t e^{6 z}

derivative of (y*10)+5y=5

\frac{d}{d x} ((y) \cdot 10) + 5 y = 5

x+yxdx-dy=0,y^2=4

x + y x d x - d y = 0, y^{2} = 4

Frequently Asked Questions (FAQ)

What is the solution for y^'=y(5x^2+3) ?
The solution for y^'=y(5x^2+3) is y=e^{(5x^3)/3+3x+c_{1}}